Need help with simplification

May 2015
13
0
Imperium Romanum
How do I simplify the term in red box into the underlined term?
 

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skipjack

Forum Staff
Dec 2006
21,481
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By multiplying both sides by \(\displaystyle 6x^{2/3}y^{1/2}\), \(\displaystyle \frac16x^{-2/3}y^{1/2} = \frac{1}{10}x^{1/3}y^{-1/2}\) gives \(\displaystyle y = \frac{6}{10}x = 3x/5\).